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Question
Find the prime factor of the following numbers and find their LCM and HCF.
75, 135
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Solution
| 3 | 75 |
| 5 | 25 |
| 5 | 5 |
| 1 |
| 3 | 135 |
| 3 | 45 |
| 3 | 15 |
| 5 | 5 |
| 1 |
∴ 75 = 3 × 5 × 5
135 = 3 × 3 × 3 × 5
HCF = 3 × 5 = 15
LCM = 3 × 5 × 5 × 9 = 675
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